Search a number
-
+
334401223200131 = 17239710385601651
BaseRepresentation
bin100110000001000101101101…
…0000111110000110110000011
31121212000110000012120102101202
41030002023122013300312003
5322312312201114401011
63143113445015051415
7130302456022126523
oct11402133207606603
91555013005512352
10334401223200131
119760684274693a
1231609245070b6b
1311478b91506189
145c81169933683
15289d8235ab23b
hex13022da1f0d83

334401223200131 has 32 divisors (see below), whose sum is σ = 376899280063488. Its totient is φ = 295050397593600.

The previous prime is 334401223200061. The next prime is 334401223200173. The reversal of 334401223200131 is 131002322104433.

It is a de Polignac number, because none of the positive numbers 2k-334401223200131 is a prime.

It is a super-2 number, since 2×3344012232001312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334401223200094 and 334401223200103.

It is not an unprimeable number, because it can be changed into a prime (334401223200431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38894345 + ... + 46707306.

It is an arithmetic number, because the mean of its divisors is an integer number (11778102501984).

Almost surely, 2334401223200131 is an apocalyptic number.

334401223200131 is a deficient number, since it is larger than the sum of its proper divisors (42498056863357).

334401223200131 is a wasteful number, since it uses less digits than its factorization.

334401223200131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85601891.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 334401223200131 its reverse (131002322104433), we get a palindrome (465403545304564).

The spelling of 334401223200131 in words is "three hundred thirty-four trillion, four hundred one billion, two hundred twenty-three million, two hundred thousand, one hundred thirty-one".

Divisors: 1 17 23 97 103 391 1649 1751 2231 2369 9991 37927 40273 169847 229793 3906481 85601651 1455228067 1968837973 8303360147 8816970053 33470245541 141157122499 149888490901 190977283381 202790311219 855246095141 3246613817477 3447435290723 14539183617397 19670660188243 334401223200131